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Showing posts from March, 2023

Happy Pi Day!

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Hey! Happy pi day to all my readers! Here's something cool: e iπ = -1                                                                      (by Euler’s identity)  Taking natural logarithm on both sides, ln (-1) = iπ   Hence, π = ln(-1)/i     Here’s a simple question for pi day:    What does the series above converge at?   Anyways, here’s pi to 30 decimal places: 3.141592653589793238462643383279. Forgot to post, so just adding a Happy Tau Day Here! - 6/28

11: Everything You Need to Know about the Rocket Equation (Physics and Applied Mathematics)

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What is the Rocket Equation? The rocket equation is a fundamental principle in physics, based on Newton’s Third Law of Motion) that describes the motion of rockets in space. It is a mathematical formula that calculates the velocity of a rocket based on its mass, the mass of the propellant it carries, and the speed at which it expels that propellant. Credit: NASA   The equation shows that as the mass of the rocket decreases (as it expels propellant), its velocity increases. This is because the rocket's momentum is conserved, and as the mass decreases, the velocity must increase to maintain momentum. The rocket equation is important because it determines the amount of propellant required to achieve a certain velocity or distance in space. It also shows that there are limits to the performance of rockets, as increasing the propellant mass requires a corresponding increase in the initial mass of the rocket, which makes it heavier and more difficult to launch. Credit: The Planetary Soci...

10: Everything You Need to Know about Technical Analysis (Financial Mathematics and Business)

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  Technical analysis is a trading methodology used to evaluate securities and financial markets based on statistical trends and market activity. Technical analysts examine past market data, including price and volume, to forecast future market behavior and make investment decisions. In this blog, we will explore the basic concepts and tools used in technical analysis. The Basics: Price charts The cornerstone of technical analysis is the price chart. Technical analysts use charts to visualize historical prices and volume of a security over a specific period. These charts are available in various formats, including line charts, bar charts, and candlestick charts. Line charts are the simplest type of chart, displaying the security's closing prices over a given period. Bar charts add more detail by showing the open, high, low, and close prices of the security in a given time frame. Candlestick charts, the most popular type of chart, show the same information as a bar chart but are easi...